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matrenka [14]
2 years ago
8

Solve this equation for x. Round your answer to the nearest hundredth. 1 = In(x + 4)

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
4 0

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Given

ln(x + 4) = 1 , then

x + 4 = e^{1} ( subtract 4 from both sides )

x = e^{1} - 4 = - 1.28 ( to the nearest hundredth )

You might be interested in
What is the recursive rule for the sequence 2, -1, 1/2 , -1/4
Helga [31]

Answer:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

\frac{-1}{2}

\frac{\frac{1}{2}}{-1}

\frac{\frac{-1}{4}}{\frac{1}{2}}

They are all equal to \frac{-1}{2}.

So we are saying:

\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}

More formally:

\frac{a_n}{a_{n-1}}=\frac{-1}{2}.

Multiply both sides by a_{n-1}:

a_n=\frac{-1}{2}a_{n-1}

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

8 0
3 years ago
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
Daniel [21]

Answer:

Supplementary

Step-by-step explanation:

84 plus 96 equals 180 degrees

supplementary angles are angles that add up to 180 so their relationship is supplementary

3 0
2 years ago
“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorg
VMariaS [17]

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

8 0
2 years ago
Whoever answer is the best gets brainlist
Otrada [13]
The answer is 18^8 because u add exponents

8 0
3 years ago
Read 2 more answers
Dr. Wellbee advised his patients to drink 8 eight-ounce glasses of water every day for every 50 pounds of weight. If Kelby weigh
Sever21 [200]

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.

What is the length of the other leg? Round to the nearest tenth.

14.4 in.21.7 in.28.9 in.<span>43.3 in.</span>
5 0
2 years ago
Read 2 more answers
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